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Finding the Fourth Proportional to 273,812.42, 410,757.54 and 84,288.55

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Solution

The fourth proportional to 273,812.42, 410,757.54 and 84,288.55 is: 126,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,812.42 : 410,757.54 = 84,288.55 : x
  2. Step 2: Convert to fraction form
    273,812.42/410,757.54 = 84,288.55/x
  3. Step 3: Cross multiply
    273,812.42x = 410,757.54 × 84,288.55
  4. Step 4: Simplify right side
    273,812.42x = 34,622,157,448.17
  5. Step 5: Solve for x
    x = 34,622,157,448.17/273,812.42
  6. Step 6: Final answer
    x = 126,444.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.